Finding the Fourth Proportional to 9,610.50, 13,262.49 and 5,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,610.50 : 13,262.49 = 5,194.50 : x
2. Step 2: Convert to fraction form
   9,610.50/13,262.49 = 5,194.50/x
3. Step 3: Cross multiply
   9,610.50x = 13,262.49 × 5,194.50
4. Step 4: Simplify right side
   9,610.50x = 68,892,004.31
5. Step 5: Solve for x
   x = 68,892,004.31/9,610.50
6. Step 6: Final answer
   x = 7,168.41